TSTP Solution File: SEU062+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:31:52 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 8 unt; 0 def)
% Number of atoms : 121 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 135 ( 55 ~; 35 |; 27 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 56 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f304,plain,
$false,
inference(subsumption_resolution,[],[f303,f184]) ).
fof(f184,plain,
in(sK8(sK7,relation_rng(sK6)),sK7),
inference(resolution,[],[f132,f124]) ).
fof(f124,plain,
~ subset(sK7,relation_rng(sK6)),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( relation(sK6)
& ! [X2] :
( empty_set != relation_inverse_image(sK6,singleton(X2))
| ~ in(X2,sK7) )
& ~ subset(sK7,relation_rng(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f60,f82]) ).
fof(f82,plain,
( ? [X0,X1] :
( relation(X0)
& ! [X2] :
( empty_set != relation_inverse_image(X0,singleton(X2))
| ~ in(X2,X1) )
& ~ subset(X1,relation_rng(X0)) )
=> ( relation(sK6)
& ! [X2] :
( empty_set != relation_inverse_image(sK6,singleton(X2))
| ~ in(X2,sK7) )
& ~ subset(sK7,relation_rng(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1] :
( relation(X0)
& ! [X2] :
( empty_set != relation_inverse_image(X0,singleton(X2))
| ~ in(X2,X1) )
& ~ subset(X1,relation_rng(X0)) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X0,X1] :
( ~ subset(X1,relation_rng(X0))
& ! [X2] :
( empty_set != relation_inverse_image(X0,singleton(X2))
| ~ in(X2,X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1] :
( relation(X0)
=> ( ! [X2] :
~ ( in(X2,X1)
& empty_set = relation_inverse_image(X0,singleton(X2)) )
=> subset(X1,relation_rng(X0)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> ( ! [X2] :
~ ( in(X2,X0)
& empty_set = relation_inverse_image(X1,singleton(X2)) )
=> subset(X0,relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X1,X0] :
( relation(X1)
=> ( ! [X2] :
~ ( in(X2,X0)
& empty_set = relation_inverse_image(X1,singleton(X2)) )
=> subset(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_funct_1) ).
fof(f132,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK8(X0,X1),X0)
& ~ in(sK8(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f86,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK8(X0,X1),X0)
& ~ in(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f303,plain,
~ in(sK8(sK7,relation_rng(sK6)),sK7),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( ~ in(sK8(sK7,relation_rng(sK6)),sK7)
| sK13 != sK13 ),
inference(superposition,[],[f165,f285]) ).
fof(f285,plain,
relation_inverse_image(sK6,singleton(sK8(sK7,relation_rng(sK6)))) = sK13,
inference(resolution,[],[f206,f124]) ).
fof(f206,plain,
! [X4] :
( subset(X4,relation_rng(sK6))
| relation_inverse_image(sK6,singleton(sK8(X4,relation_rng(sK6)))) = sK13 ),
inference(resolution,[],[f200,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f200,plain,
! [X5] :
( in(X5,relation_rng(sK6))
| relation_inverse_image(sK6,singleton(X5)) = sK13 ),
inference(resolution,[],[f163,f126]) ).
fof(f126,plain,
relation(sK6),
inference(cnf_transformation,[],[f83]) ).
fof(f163,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_inverse_image(X1,singleton(X0)) = sK13
| in(X0,relation_rng(X1)) ),
inference(backward_demodulation,[],[f140,f160]) ).
fof(f160,plain,
empty_set = sK13,
inference(resolution,[],[f159,f152]) ).
fof(f152,plain,
empty(sK13),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( empty(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f15,f104]) ).
fof(f104,plain,
( ? [X0] :
( empty(X0)
& relation(X0) )
=> ( empty(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f15,axiom,
? [X0] :
( empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f159,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f140,plain,
! [X0,X1] :
( ~ relation(X1)
| empty_set = relation_inverse_image(X1,singleton(X0))
| in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( empty_set != relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( in(X0,relation_rng(X1))
| empty_set = relation_inverse_image(X1,singleton(X0)) ) )
| ~ relation(X1) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ( ( empty_set != relation_inverse_image(X0,singleton(X1))
| ~ in(X1,relation_rng(X0)) )
& ( in(X1,relation_rng(X0))
| empty_set = relation_inverse_image(X0,singleton(X1)) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ( empty_set != relation_inverse_image(X0,singleton(X1))
<=> in(X1,relation_rng(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( relation(X0)
=> ( empty_set != relation_inverse_image(X0,singleton(X1))
<=> in(X1,relation_rng(X0)) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X1,X0] :
( relation(X1)
=> ( empty_set != relation_inverse_image(X1,singleton(X0))
<=> in(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f165,plain,
! [X2] :
( relation_inverse_image(sK6,singleton(X2)) != sK13
| ~ in(X2,sK7) ),
inference(backward_demodulation,[],[f125,f160]) ).
fof(f125,plain,
! [X2] :
( empty_set != relation_inverse_image(sK6,singleton(X2))
| ~ in(X2,sK7) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:32:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (1021)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.50 % (1010)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.50 % (999)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51 % (996)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (995)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (1005)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (1002)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (1021)First to succeed.
% 0.21/0.52 % (1026)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.52 % (1010)Also succeeded, but the first one will report.
% 0.21/0.52 % (1021)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (1021)------------------------------
% 0.21/0.52 % (1021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (1021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (1021)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (1021)Memory used [KB]: 5628
% 0.21/0.52 % (1021)Time elapsed: 0.070 s
% 0.21/0.52 % (1021)Instructions burned: 8 (million)
% 0.21/0.52 % (1021)------------------------------
% 0.21/0.52 % (1021)------------------------------
% 0.21/0.52 % (989)Success in time 0.163 s
%------------------------------------------------------------------------------